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Finding the Third Proportional to 821,475 and 1,765,179

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Solution

The third proportional to 821,475 and 1,765,179 is: 3,793,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,475 : 1,765,179 = 1,765,179 : x
  2. Step 2: Convert to fraction form
    821,475/1,765,179 = 1,765,179/x
  3. Step 3: Cross multiply
    821,475x = 1,765,179 × 1,765,179
  4. Step 4: Simplify right side
    821,475x = 3,115,856,902,041
  5. Step 5: Solve for x
    x = 3,115,856,902,041/821,475
  6. Step 6: Final answer
    x = 3,793,002.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.